Algebra Examples

(x - 1) (x + 1)

$(x - 1) (x + 1)$

Step 1

Expand

(x - 1) (x + 1)

$(x - 1) (x + 1)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x + 1) - 1 (x + 1)

$x (x + 1) - 1 (x + 1)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot 1 - 1 (x + 1)

$x \cdot x + x \cdot 1 - 1 (x + 1)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot 1 - 1 x - 1 \cdot 1

$x \cdot x + x \cdot 1 - 1 x - 1 \cdot 1$

x \cdot x + x \cdot 1 - 1 x - 1 \cdot 1

$x \cdot x + x \cdot 1 - 1 x - 1 \cdot 1$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

x \cdot x + x \cdot 1 - 1 x - 1 \cdot 1

$x \cdot x + x \cdot 1 - 1 x - 1 \cdot 1$ .

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Step 2.1.1

Reorder the factors in the terms

x \cdot 1

$x \cdot 1$ and

- 1 x

$- 1 x$ .

x \cdot x + 1 x - 1 x - 1 \cdot 1

$x \cdot x + 1 x - 1 x - 1 \cdot 1$

Step 2.1.2

Subtract

1 x

$1 x$ from

1 x

$1 x$ .

x \cdot x + 0 - 1 \cdot 1

$x \cdot x + 0 - 1 \cdot 1$

Step 2.1.3

Add

x \cdot x

$x \cdot x$ and

0

$0$ .

x \cdot x - 1 \cdot 1

$x \cdot x - 1 \cdot 1$

x \cdot x - 1 \cdot 1

$x \cdot x - 1 \cdot 1$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

x

$x$ by

x

$x$ .

x^{2} - 1 \cdot 1

$x^{2} - 1 \cdot 1$

Step 2.2.2

Multiply

- 1

$- 1$ by

1

$1$ .

x^{2} - 1

$x^{2} - 1$

x^{2} - 1

$x^{2} - 1$

x^{2} - 1

$x^{2} - 1$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$